The combination of two or more atoms, from the same or different elements, creates a(n)_____

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Answer 1

Answer: The combination of two or more atoms, from the same or different elements, creates a(n)_____

A Compound.

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A flywheel with a moment of inertia of 1.00kg m^2 is rotating at 100 rpm. What torque is required to bring it to rest in 10.0 revolutions?

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Torque is defined as the turning effect of force about the axis of rotation. In short it is a moment of force. It is represented by τ. The amount of torque required to produce an angular acceleration depends on the distribution of the mass of the object. It is calculated as follows:

torque = (moment of inertia)(angular acceleration)
torque = 1.00 ( 100 )(1/60) / 10
torque = 0.1667 N∙m

Calculate the speed of the ball, vo in m/s, just after the launch. A bowling ball of mass m = 1.5 kg is launched from a spring compressed by a distance d = 0.21 m at an angle of θ = 32° measured from the horizontal. It is observed that the ball reaches a maximum height of h = 4.4 m, measured from the initial position of the ball. Let the gravitational potential energy be zero at the initial height of the bowling ball.

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Answer:

$v_0=17.3m/s$

Explanation:

In this problem we have three important moments; the instant in which the ball is released (1), the instant in which the ball starts to fly freely (2) and the instant in which has its maximum height (3). From the conservation of mechanical energy, the total energy in each moment has to be the same. In (1), it is only elastic potential energy; in (2) and (3) are both gravitational potential energy and kinetic energy. Writing this and substituting by known values, we obtain:

$E_1=E_2=E_3\n\nU_e_1=U_g_2+K_2=U_g_3+K_3\n\n(1)/(2)kd^2=mg(d\sin\theta)+(1)/(2)mv_0^2=mgh+(1)/(2)m(v_0\cos\theta)^2$

Since we only care about the velocity $v_0$ , we can keep only the second and third parts of the equation and solve:

$mgd\sin\theta+(1)/(2)mv_0^2=mgh+(1)/(2)mv_0^2\cos^2\theta\n\n(1)/(2)mv_0^2(1-\cos^2\theta)=mg(h-d\sin\theta)\n\nv_0=\sqrt{(2g(h-d\sin\theta))/(1-\cos^2\theta)}\n\nv_0=\sqrt{(2(9.8m/s^2)(4.4m-(0.21m)\sin32\°))/(1-\cos^232\°)}\n\nv_0=17.3m/s$

So, the speed of the ball just after the launch is 17.3m/s.

you measure that it takes 0.75 seconds for a leaf to fall from a tree to the ground. the leaf experiences air resistance as it falls. if there were no air resistance, how long would it take the leaf to fall?

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There's not enough information given in the problem to calculate that answer.

A leaf falling from a tree on Earth, a sheet of printer paper falling off the back
of a truck on Venus, and a steel ball sinking through a bucket of Scotch whiskey
on Mars, might all reach the bottom in 0.75 second. The time it would take each
of them to fall the same distance through a vacuum in the same place would be
different, and the 0.75 second is not enough to enable you derive it ... even if
you did know the acceleration of gravity in each place. All you can say is that
without resistance, it would fall faster, and hit bottom in less than 0.75 second.

Answer:

less than 0.75 seconds

Explanation:

Alternative between running snd walking

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this would have to be jogging

If a car goes along a straight road heading west and speeds up from 25 ft/s to 60 ft/s in 5 s, calculate the acceleration.

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Acceleration =

   (change in speed) / (time for the change)
and
   direction of the change.

Change in speed = (end speed)-(start speed) = (60 - 25) = 35 f/s
Time for the change = 5 sec
Direction of the change = west

   Acceleration = 7 ft/sec² west .

. Which of the following is not an ultimate goal of science?A. Understand patterns
B. Give explanations for natural events
C. Make predictions
D. Produce unchanging, absolute answers

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What is not the ultimate goal of science is to produce unchanging and absolute answers - D. Scientists would like to, however, understand patterns, give explanations for natural events, and even make predictions. And it isn't really the case that they would like to produce unchanging answers.

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